Luttinger surgery and Kodaira dimension

Chung-I Ho; Tian-Jun Li

doi:ajm/1333976887

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Home > Journals > Asian J. Math. > Volume 16 > Issue 2 > Article

June 2012 Luttinger surgery and Kodaira dimension

Chung-I Ho, Tian-Jun Li

Asian J. Math. 16(2): 299-318 (June 2012).

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Abstract

In this note we show that the Lagrangian Luttinger surgery preserves the symplectic Kodaira dimension. Some constraints on Lagrangian tori in symplectic four manifolds with nonpositive Kodaira dimension are also derived.